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Dergiler / Cankaya University Journal of Science and Engineering / 2022 / Cilt: 19 - Sayı: 1

A Comparative Analysis of Modified Extended Fractional Derivative and Integral Operators Via Modified Extended Beta Function with Applications to Generating Functions

Umar Muhammad ABUBAKAR
Sayfa
40–50
Yayın Tarihi
2022-05-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The Mellin of certain new extension of the extended fractional derivative and integral operators ware obtained.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This article object is to introduce new extension of the extended beta, Gauss hypergeometric, Appell hypergeometric and Lauricella hypergeometric functions.
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Temel Bulgular & Veri:The new extension of the extended Riemann-Liouville, Caputo and Kober-Erdelyi fractional derivative and integral operators are also examined with their applications to generating functions by considering the extended hypergeometric functions.
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Sonuç & Katkı:The Mellin of certain new extension of the extended fractional derivative and integral operators ware obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Beta function · Fractional calculus · Gamma function

Abstract

This article object is to introduce new extension of the extended beta, Gauss hypergeometric, Appell hypergeometric and Lauricella hypergeometric functions. The new extension of the extended Riemann-Liouville, Caputo and Kober-Erdelyi fractional derivative and integral operators are also examined with their applications to generating functions by considering the extended hypergeometric functions. The Mellin of certain new extension of the extended fractional derivative and integral operators ware obtained.

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Bu Makaleye Atıf Yap

ABUBAKAR, U. M. (2022). A Comparative Analysis of Modified Extended Fractional Derivative and Integral Operators Via Modified Extended Beta Function with Applications to Generating Functions. Cankaya University Journal of Science and Engineering, Cilt: 19 - Sayı: 1, 40–50. https://ajindex.com/articles/745970

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Kaynakça (5)

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